1401314100 has 144 divisors (see below), whose sum is σ = 4330056192. Its totient is φ = 349050240.

The previous prime is 1401314081. The next prime is 1401314119. The reversal of 1401314100 is 14131041.

It is an interprime number because it is at equal distance from previous prime (1401314081) and next prime (1401314119).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1401314100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294339 + ... + 299061.

Almost surely, 2^1401314100 is an apocalyptic number.

1401314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165028096).

1401314100 is an abundant number, since it is smaller than the sum of its proper divisors (2928742092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1401314100 is a wasteful number, since it uses less digits than its factorization.

1401314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1401314100 is about 37434.1301488361. The cubic root of 1401314100 is about 1119.0388490866.

Adding to 1401314100 its reverse (14131041), we get a palindrome (1415445141).

The spelling of 1401314100 in words is "one billion, four hundred one million, three hundred fourteen thousand, one hundred".